摘要
本文利用带两个Carleman位移的奇异积分方程的Noether理论,讨论有界或无界多连通区域内解析函数的Hilbert边值问题。文中给出了此问题的Noether性条件、指数公式和可解的充分必要条件。
Two classes of boundary value problems with shift for generalized hyperanalytic function are studied in this paper. With the help of some assumption conditions, we use the theory of singular integral equation to establish the necessary and sufficient conditions for solvability of the above problems.
关键词
边值问题
位移
奇异积分方程
generalized analytic functions
singular integral equation
displacement boundary
boundary-value problem
solvability
Free terms
generalized hyperanalytic function
